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Finding the Fourth Proportional to 30,424.40, 41,984.40 and 19,100

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Solution

The fourth proportional to 30,424.40, 41,984.40 and 19,100 is: 26,357.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,424.40 : 41,984.40 = 19,100 : x
  2. Step 2: Convert to fraction form
    30,424.40/41,984.40 = 19,100/x
  3. Step 3: Cross multiply
    30,424.40x = 41,984.40 × 19,100
  4. Step 4: Simplify right side
    30,424.40x = 801,902,040
  5. Step 5: Solve for x
    x = 801,902,040/30,424.40
  6. Step 6: Final answer
    x = 26,357.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.